Inverse problems in the mathematical sciences:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Braunschweig u.a.
Vieweg
1993
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| Series: | Vieweg mathematics for scientists and engineers
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | V, 152 S. graph. Darst. |
| ISBN: | 3528065451 |
Staff View
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| 100 | 1 | |a Groetsch, Charles W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Inverse problems in the mathematical sciences |c Charles W. Groetsch |
| 264 | 1 | |a Braunschweig u.a. |b Vieweg |c 1993 | |
| 300 | |a V, 152 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Vieweg mathematics for scientists and engineers | |
| 650 | 7 | |a Problèmes inverses (équations différentielles) |2 ram | |
| 650 | 4 | |a Problèmes inversés (Équations différentielles) | |
| 650 | 7 | |a estimation paramètre |2 inriac | |
| 650 | 7 | |a identification modèle |2 inriac | |
| 650 | 7 | |a modèle causal |2 inriac | |
| 650 | 7 | |a problème inverse |2 inriac | |
| 650 | 7 | |a équation différentielle |2 inriac | |
| 650 | 7 | |a équation intégrale |2 inriac | |
| 650 | 4 | |a Inverse problems (Differential equations) | |
| 650 | 0 | 7 | |a Inversion |g Mathematik |0 (DE-588)4162235-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inverses Problem |0 (DE-588)4125161-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Inversion |g Mathematik |0 (DE-588)4162235-2 |D s |
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| 689 | 1 | 0 | |a Inverses Problem |0 (DE-588)4125161-1 |D s |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-004392926 | ||
Record in the Search Index
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| adam_text | 1_
Contents
1 Introduction 2
2 Inverse Problems Modeled by Integral Equations of the First
Kind: Causation 5
2.1 Some Models 6
2.2 Integral Equations of the First Kind 35
2.3 Bibliographic Notes 39
3 Parameter Estimation in Differential Equations: Model Identifi¬
cation 41
3.1 An Exponential Growth Model 43
3.2 A Problem in Hydraulics 45
3.3 Compartmental Analysis 49
3.4 Structural Dynamics 56
3.5 Diffusion Coefficients 61
3.6 Forcing Terms 63
3.7 Bibliographic Notes 65
4 Mathematical Background for Inverse Problems 67
4.1 A Function Space Precis 67
4.2 Some Operator Theory 71
4.3 Ill Posed Operator Equations 79
4.4 Bibliographic Notes 83
5 Some Methodology for Inverse Problems 84
5.1 The Method of Regularization 84
5.2 Discretization Methods 91
5.3 Iterative Methods 96
5.4 TSVD 100
5.5 The Maximum Entropy Method 102
5.6 The Backus Gilbert Method 108
5.7 ART 112
5.8 Ouput Least Squares 116
5.9 Bibliographic Notes 119
6 An Annotated Bibliography on Inverse Problems 121
Index 151
|
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| author | Groetsch, Charles W. |
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| dewey-full | 515.35 530.15535 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 530 - Physics |
| dewey-raw | 515.35 530.15535 |
| dewey-search | 515.35 530.15535 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics 530 - Physics |
| discipline | Physik Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:52:39Z |
| institution | BVB |
| isbn | 3528065451 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004392926 |
| oclc_num | 28829049 |
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| physical | V, 152 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Vieweg |
| record_format | marc |
| series2 | Vieweg mathematics for scientists and engineers |
| spelling | Groetsch, Charles W. Verfasser aut Inverse problems in the mathematical sciences Charles W. Groetsch Braunschweig u.a. Vieweg 1993 V, 152 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Vieweg mathematics for scientists and engineers Problèmes inverses (équations différentielles) ram Problèmes inversés (Équations différentielles) estimation paramètre inriac identification modèle inriac modèle causal inriac problème inverse inriac équation différentielle inriac équation intégrale inriac Inverse problems (Differential equations) Inversion Mathematik (DE-588)4162235-2 gnd rswk-swf Inverses Problem (DE-588)4125161-1 gnd rswk-swf Inversion Mathematik (DE-588)4162235-2 s DE-604 Inverses Problem (DE-588)4125161-1 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004392926&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Groetsch, Charles W. Inverse problems in the mathematical sciences Problèmes inverses (équations différentielles) ram Problèmes inversés (Équations différentielles) estimation paramètre inriac identification modèle inriac modèle causal inriac problème inverse inriac équation différentielle inriac équation intégrale inriac Inverse problems (Differential equations) Inversion Mathematik (DE-588)4162235-2 gnd Inverses Problem (DE-588)4125161-1 gnd |
| subject_GND | (DE-588)4162235-2 (DE-588)4125161-1 |
| title | Inverse problems in the mathematical sciences |
| title_auth | Inverse problems in the mathematical sciences |
| title_exact_search | Inverse problems in the mathematical sciences |
| title_full | Inverse problems in the mathematical sciences Charles W. Groetsch |
| title_fullStr | Inverse problems in the mathematical sciences Charles W. Groetsch |
| title_full_unstemmed | Inverse problems in the mathematical sciences Charles W. Groetsch |
| title_short | Inverse problems in the mathematical sciences |
| title_sort | inverse problems in the mathematical sciences |
| topic | Problèmes inverses (équations différentielles) ram Problèmes inversés (Équations différentielles) estimation paramètre inriac identification modèle inriac modèle causal inriac problème inverse inriac équation différentielle inriac équation intégrale inriac Inverse problems (Differential equations) Inversion Mathematik (DE-588)4162235-2 gnd Inverses Problem (DE-588)4125161-1 gnd |
| topic_facet | Problèmes inverses (équations différentielles) Problèmes inversés (Équations différentielles) estimation paramètre identification modèle modèle causal problème inverse équation différentielle équation intégrale Inverse problems (Differential equations) Inversion Mathematik Inverses Problem |
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